List questions from galois-theory

Published on 05 May 2026 - 19:39

84

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A weird automorphism

Published on 05 May 2026 - 3:23

160

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$S_3$ action on the splitting field of $\mathbb{Q}[x]/(x^3 - x - 1)$

Published on 05 May 2026 - 2:42

228

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Question about existence of Galois extension

Published on 06 May 2026 - 8:56

173

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Prove that K/L is a Galois extension

Published on 29 Apr 2026 - 12:31

160

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discriminant and irreducibility of $x^p - (p+1)x - 1$

Published on 29 Apr 2026 - 12:16

312

Views

galois group of irreducible monic cubic polynomial

Published on 29 Apr 2026 - 12:16

616

Views

Proof of normal basis theorem for finite fields

Published on 05 May 2026 - 10:21

180

Views

Regular inverse Galois problem for Q(t)

Published on 03 May 2026 - 8:52

79

Views

When a certain subfield of $\mathbb{C}(x,y^2)$ is Galois

Published on 29 Apr 2026 - 13:15

58

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When $k(a+b,c+d)\subseteq k(a,b,c,d)$ is Galois?

Published on 03 May 2026 - 14:37

618

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Minimal polynomial of $ab$, when those of $a$ and $b$ are known

Published on 10 May 2026 - 8:41

205

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Property of Galois extension

Published on 10 May 2026 - 11:21

181

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The roots after constructing an extension field by Kronecker's theorem

Published on 10 May 2026 - 11:20

75

Views

$Ext(-,\mathbb Z)$ for profinite (Galois) groups

Published on 07 May 2026 - 10:37

List Question

Fixed points of automorphisms of $\mathbb{Q}(\zeta)$

A weird automorphism

$S_3$ action on the splitting field of $\mathbb{Q}[x]/(x^3 - x - 1)$

Question about existence of Galois extension

Prove that K/L is a Galois extension

discriminant and irreducibility of $x^p - (p+1)x - 1$

galois group of irreducible monic cubic polynomial

Proof of normal basis theorem for finite fields

Regular inverse Galois problem for Q(t)

When a certain subfield of $\mathbb{C}(x,y^2)$ is Galois

When $k(a+b,c+d)\subseteq k(a,b,c,d)$ is Galois?

Minimal polynomial of $ab$, when those of $a$ and $b$ are known

Property of Galois extension

The roots after constructing an extension field by Kronecker's theorem

$Ext(-,\mathbb Z)$ for profinite (Galois) groups

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